The fundamental equation for heat transfer is . In this formula, represents the heat energy transferred (measured in Joules), is the mass of the substance being heated or cooled (usually the water or solution in grams), is the specific heat capacity, and is the change in temperature.
Specific Heat Capacity () is defined as the amount of energy required to raise the temperature of one gram of a substance by one degree Celsius (or one Kelvin). For water, this value is approximately , meaning water is very effective at absorbing heat without massive temperature spikes.
The Enthalpy Change () is the heat energy change per mole of reactant under constant pressure. It is calculated by dividing the total heat () by the number of moles () of the limiting reactant, usually expressed as to account for the sign convention.
Step 1: Measure the surroundings. Determine the mass of the water or solution being used and record its initial temperature. If mixing two solutions, the total mass is the sum of both volumes (assuming a density of ).
Step 2: Initiate the reaction. Add the reactant and stir continuously to ensure an even temperature distribution throughout the liquid. Record the maximum (for exothermic) or minimum (for endothermic) temperature reached.
Step 3: Calculate Heat (). Use . Ensure the mass used is the mass of the liquid being heated, not the mass of the solid reactant added.
Step 4: Convert to Enthalpy (). Calculate the moles of the limiting reactant. Divide (converted to kJ) by the moles to find in . Assign a negative sign if the temperature increased and a positive sign if it decreased.
| Feature | Exothermic Reaction | Endothermic Reaction |
|---|---|---|
| Temperature Change | Increases (Surroundings get hotter) | Decreases (Surroundings get colder) |
| Energy Flow | System Surroundings | Surroundings System |
| Sign of | Negative () | Positive () |
| Example | Combustion, Neutralization | Dissolving certain salts, Thermal decomposition |
Check your units: The formula yields Joules (J). Most exam questions require the final answer in kilojoules per mole (), so you must divide your value by before calculating .
Identify the correct mass: A common mistake is using the mass of the solid reactant in the calculation. Always use the mass of the substance that actually changed temperature (the water or the solution).
The Sign is Critical: Always perform a 'sanity check' on your final sign. If the thermometer reading went up, your MUST be negative. Forgetting the negative sign for exothermic reactions is one of the most frequent ways students lose marks.
Assumptions in Calculations: In many problems, you are expected to assume that aqueous solutions have the same density () and specific heat capacity () as pure water.